131072256 has 324 divisors, whose sum is σ = 466498032. Its totient is φ = 36578304.

The previous prime is 131072251. The next prime is 131072281. The reversal of 131072256 is 652270131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131072251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3048171 + ... + 3048213.

Almost surely, 2^131072256 is an apocalyptic number.

131072256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131072256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233249016).

131072256 is an abundant number, since it is smaller than the sum of its proper divisors (335425776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131072256 is an frugal number, since it uses more digits than its factorization.

131072256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131072256 is about 11448.6792251334. The cubic root of 131072256 is about 507.9686673382.

It can be divided in two parts, 131072 and 256, that multiplied together give a 25-th power (33554432 = 2²⁵).

The spelling of 131072256 in words is "one hundred thirty-one million, seventy-two thousand, two hundred fifty-six".